Timing considerations with quadrature sampling-quadrature sampling error formula revisited

Quadrature sampling allows for exact interpolation or reconstruction of the bandpass waveform as long as the sampling rate is a submultiple of the center frequency of the signal. In many cases of practical interest, such precise sampling may not be possible. In a particular case, C.E. Persons (1975) addressed the problem of determining the ratio of the power in the error bands to the power in the signal band when quadrature sampling is employed using an arbitrary sampling frequency. The problem addressed by the authors is a generalization of C.E. Persons´ formula to include the effects of sampling timing errors when applying the original O.D. Grace-S.P. Pitt (1968) interpolation formula. The reconstruction error is plotted as a function of sampling timing errors